85237075440 has 480 divisors, whose sum is σ = 326007259200. Its totient is φ = 20452608000.

The previous prime is 85237075403. The next prime is 85237075447. The reversal of 85237075440 is 4457073258.

85237075440 is a `hidden beast` number, since 8 + 523 + 70 + 7 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85237075447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26395746 + ... + 26398974.

It is an arithmetic number, because the mean of its divisors is an integer number (679181790).

Almost surely, 2^85237075440 is an apocalyptic number.

85237075440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85237075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163003629600).

85237075440 is an abundant number, since it is smaller than the sum of its proper divisors (240770183760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85237075440 is a wasteful number, since it uses less digits than its factorization.

85237075440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 85237075440 in words is "eighty-five billion, two hundred thirty-seven million, seventy-five thousand, four hundred forty".